8434284705856 has 63 divisors (see below), whose sum is σ = 16979153973933. Its totient is φ = 4156932810240.

The previous prime is 8434284705829. The next prime is 8434284705907. The reversal of 8434284705856 is 6585074824348.

The square root of 8434284705856 is 2904184.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 82277185600 + 8352007520256 = 286840^2 + 2889984^2 .

It is a super-2 number, since 2×8434284705856² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1649573956 + ... + 1649579068.

Almost surely, 2^{8434284705856} is an apocalyptic number.

8434284705856 is the 2904184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8434284705856

8434284705856 is an abundant number, since it is smaller than the sum of its proper divisors (8544869268077).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8434284705856 is an frugal number, since it uses more digits than its factorization.

8434284705856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10380 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 206438400, while the sum is 64.

Multiplying 8434284705856 by its sum of digits (64), we get a square (539794221174784 = 23233472²).

8434284705856 divided by its sum of digits (64) gives a square (131785698529 = 363023²).

The spelling of 8434284705856 in words is "eight trillion, four hundred thirty-four billion, two hundred eighty-four million, seven hundred five thousand, eight hundred fifty-six".